<TeXmacs|2.1.2>

<style|<tuple|tmdoc|no-page-numbers|british|gnuplot>>

<\body>
  <tmdoc-title|The <name|Gnuplot> plug-in>

  <name|Gnuplot> is a flexible and powerful command line graphing tool which
  is freely downloadable from <hlink|www.gnuplot.info|http://www.gnuplot.info>.
  It has been developed since 1986 and is available on all platforms
  supported by <TeXmacs> as well as many others. In <TeXmacs> it is possible
  to use it in <em|interactive sessions> as well as <em|executable folded
  environments> to seamlessly embedded dynamically created graphics in your
  documents. There also basic wrappers for easy creation of simple plots
  which don't require much customization.

  <\warning*>
    If you are using GNU <TeXmacs> or Mogan on Windows, please install
    <name|Gnuplot> 5.2.x instead of <name|Gnuplot 5.4.x>. We found that
    <name|Gnuplot> 5.4.3 and 5.4.2 does not work with <TeXmacs>. And
    <name|Gnuplot> 5.2.8 and 5.2.7 work fine.
  </warning*>

  Select <menu|Insert|Session|Gnuplot> in order to start a <name|Gnuplot>
  session. After pressing <key|return> in a line, your input will be sent to
  <name|Gnuplot>. If you need to enter more than one command then you may
  separate them by a newline, which you insert using <key|S-return>.
  Alternatively you may select <menu|Focus|Input options|Multiline input> to
  reverse the behaviour of the keys. Each input must be a complete script
  ending with a plotting command, i.e. the result must always be an image to
  embed into <TeXmacs>.

  <paragraph|Example gnuplot session>

  <name|Gnuplot> supports many features which allow the creation of high
  quality graphs. Here are some examples:

  <\session|gnuplot|png>
    <\output>
      Gnuplot session by XmacsLabs

      implemented on Goldfish Scheme (17.10.1)
    </output>

    <\unfolded-io>
      png]\ 
    <|unfolded-io>
      plot [-10:10][-10:10] x+sin(x)
    <|unfolded-io>
      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    </unfolded-io>

    <\unfolded-io>
      png]\ 
    <|unfolded-io>
      set noclip

      set yrange[-30:10]

      plot x*(abs((x-4)/(x+4)))**(1./2.)
    <|unfolded-io>
      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    </unfolded-io>

    <\unfolded-io>
      png]\ 
    <|unfolded-io>
      set key bmargin left horizontal Right noreverse enhanced autotitle box
      lt black linewidth 1.000 dashtype solid

      set style increment default

      set samples 800, 800

      set title "Simple Plots"\ 

      set title \ font ",20" norotate

      set xrange [ * : * ] noreverse writeback

      set x2range [ * : * ] noreverse writeback

      set yrange [ * : * ] noreverse writeback

      set y2range [ * : * ] noreverse writeback

      set zrange [ * : * ] noreverse writeback

      set cbrange [ * : * ] noreverse writeback

      set rrange [ * : * ] noreverse writeback

      plot [-30:20] sin(x*20)*atan(x)
    <|unfolded-io>
      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    </unfolded-io>

    <\input>
      png]\ 
    <|input>
      \;
    </input>
  </session>

  <paragraph|Creating simple dynamic plots>

  A very nice feature is the ability to easily create plots of functions
  which can be edited seamlessly without the need to embed a session into
  your document. For this select <menu|Insert|Image|Plot> and choose any of
  the options there. Here is an example:<script-output|gnuplot|default|set
  noxtics|>

  <\big-figure>
    \;

    <\plot-output|<plot-curve|<text|sin(x**2)>|-4|4>>
      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    </plot-output>
  </big-figure|The output of <menu|Insert|Image|Plot|Curve>>

  Hitting <key|S-return> the corresponding graph is substituted for the input
  table. Switch back with another <key|S-return>. For more customization
  inside toggles like the previous one, you may use embedded scripts.

  <paragraph|Gnuplot as a document scripting language>

  You can also use <name|Gnuplot> as a scripting language for the current
  document (see \PPlug-ins as scripting languages\Q in the documentation).
  Selecting the menu item <menu|Insert|Fold|Executable|Gnuplot> will produce
  the following output: <script-input|gnuplot|default||>. You may enter any
  <name|Gnuplot> script in the yellow box, e.g.

  <center|<script-input|gnuplot|default|plot
  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  Hitting <shortcut|(kbd-return)> inside the box you alternate between the
  unevaluated input and the evaluated output. For more complex scripts, you
  can use <shortcut|(kbd-shift-return)> to enable multi-line input.

  Additionally, after selecting <menu|Document|Scripts|Gnuplot> you may also
  insert <em|executable input fields> using <shortcut|(make-calc-input)> or
  <menu|Insert|Link|Executable input field>. After pressing <key|return>, the
  contents are evaluated and you will see the corresponding output. Pressing
  <key|return> \ again you switch back to the input.

  See the <TeXmacs> documentation for more on this topic.

  <paragraph|Magic line>

  In Gnuplot sessions, we often use magic line to controll the width and the
  height:

  <\session|gnuplot|png>
    <\unfolded-io>
      png]\ 
    <|unfolded-io>
      plot sin(x)
    <|unfolded-io>
      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    </unfolded-io>

    <\unfolded-io>
      png]\ 
    <|unfolded-io>
      % -width 0.5par

      plot sin(x)
    <|unfolded-io>
      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    </unfolded-io>

    <\unfolded-io>
      png]\ 
    <|unfolded-io>
      % -width 0.5par -height 100px

      plot sin(x)
    <|unfolded-io>
      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61063623C57916DAB2CB330601987A1933E33E0B6DD9E9C10230E59429524DA6BCF7D8B93B2C6389C39D205A6C9CD696E384650937B875B3FBCB17EC155BF3E3F4F99100F79AE9F85D1DE3E55A4C4153ADF6695B7F7BE8F2E732E3F4F9DECEF05B931A97F794B0B811E8B6FDCEF6CC3949A52B53E3F4F9B6C3FE2D4BCFFCF844519C3E1F2E523CA20F3AF7F098676BBA0F78E337E3D47DC06B98A044F4A59F79767C47C0ED3BFAC7CC4D42F4A55FBC8F453AB3AD3FFB6A0C7FC509FD7B785446695296DC5E1FAF19A70ECC3F0B44FA34B5E358207EE538B0002C1419E59AB866E459767872B0002C5208C0C316D753192CBBBCC8C01204A98A354C50F654C76B0F68FB4ECF98AB70270880A94C15E88DF4B57CE7AC99588804B9CE3DD8012C5A08C0C3668EDBA90C9120D7FD2F6FE61CEC001686F8554673B785C21EECFB140656C2E45EAF6DFBD81D8F0FEF3EE04DB944A9324887FE55102004E061CB9C13AF19276BB52FB558A9D0A3B30943F6FCE4D39FF6C7E393CF56A0A4783B007C53FE426DEB477109C0EDDBB00149CC1080872DE51265A83FE2B1C47E0FA865178E2014929CF9C9D65ABFDF3E44F5F211B0ECECC7FCB380E45E9BDCB5CF1BEA8F7D4240FB766460891902F0F0B14CF655C96D7118FAA00487B048556CCEFCA478CC3D5AB0002C2872AD24A35C73666B8C9F092177D456E7CFBC0C6B52A285003C12636FD29D7ABF2FB69F190D735DFB7DE86CC252B058776A638CEF045773301AE6522EC102B090C46316DAB2CB9331432D53E3292D5AB8B42391BF50DBB9C71370C472EED17AC8AF2B9023DB4258F21769DB7778C2DE58CE3D5A7660D94F780A2A74AD1FBBB9984E42B76FEFC79D206E08C023214F968C999B14DB175ECB2E9CFC2A3CCA1469FA34D5996DB13CA4B21D0BC002A4CD93ABD3A43D0763B92D0D25A0450F0178840A6FD637C77416BA031958C254B058D75215CB3BE16C0A34084DFE425DEBE698DD09DEEE70FF9950FA741C46296608C023945FA1B5ECEC8F55DE63C019E9DAEBC5B847880A16EB5A3F72C7AA3AA9E34440AA94E80A1431F934E053FEA2582E035B767AB2AE4CC26194E286003C42CA1469E69CA4D61865C036BFD797734DB232050BC0C2A3CD93278F91C56A6BB86587271BEF61C2642E57F75B42EED3B1D9A0D88E12D009000178E4C6DE1CB35CE8860DCEE2DB5362F251C0BF8225BA968DB179156B7CDB55B04417938F029EB152362F7625B1CE6001380120008FDCD8C5BAD35BFB475F8EBFEF54D0793290BB009D4DA862B50CEC3C19703605F2BE8F3B41A8F2176A5B37C720003B4F06A2C1A8A1145BD1440E0178E4542669FA74F5E88B11366C70162DD54BE458EC112A53998AE3187BBD7F949F737CBD73FCEDA91219EE04A1CABD4EDBF14FCFE853438EAF7716FD085362E287003C2A8537EB469F0B7DF24D57F16DE86CC25650A16DA91AD5D0271AE61A3638C6DF893B41C0143A49C60C4DFBF651BD944782DC89371C137E921AAB5601B510804765EC4DBAB68FDD11FFC83360BBF67A592993364D1DC35601FF463F0BDDF649BFBE50993A1EB38EC236FA9258CD7F771927A9500A2D1120008F8A2643669CA41ACD0B6FC306E778A45F095FD6E51A775BA8FFCCC833608FAF77942CC79D20780515DAD68FDDCC2876A51D7DD931619521762D027A21008FD6D851CC4247825CF3FB7D97FC188F5DC163A56CDE0DDA110F82BDDDE18E2F3C853FD0C7B655C03FDD5885522FEDA91E61492CC7F180B3295050A18D6DAB804E08C0A3557893AE65535F34349237DEB68FDCC649CAE41C79CC5B05FC2B583CF265E0137F7116DEAC9327A33F8AC1D89B740D1B9C23FBDB232FF596AE3020253341A0C38F56728E5C3F4E61D939926AC00D1B9C48BF128DDC6B93BB0FFAFCB6911CD1717CBDA3E43F9174231293571B4FBEE9EC6F1FF67A44C8133DF9A673C24ADC098902013806465617DA6F8F583EF714DE8C59479190692497DCAAAF7EB267B87FD8F94FAF44CA98CB7112A548683264A52B0C879EB40EF70F1BDF7265CED1604A2C712000C7C0B8FFD0377FE0F2748487F5578D6FBBF26ED0CAB5B804E231A332BD6183B3EF5470587F85E1AFF84C7DD0D4F49ECBDD3ABC3BE1E82BBD48BF4A2878FAC78036573EE12786BD0F760DEBAF1AFEEA10DFFC73656525E92690A44E9795FDDCB4EF91EE8BFF93507FB4A5AAAF78191F7742825F1D3EA98CD289AB0CD5EB863108EE39E8EB6CB2E52E40FA550241008E8DE98FA575EDF3B6EFB8D895606763B0BF3D94335F6CC5D6D7AC5943BA09844DF9A5B17BBFB773CFC59ECDD0F8B66BCC5549EA74595C5B350057874F531F30B554B99D270317F9FB475EEEFDC8F967168FE44482AB1D1B32B564CE33E6DDAB3B2E2A1D9A63F63ED059BAC280B3C6C447A696CC5893BEEFE18B9D0E39BEDE51B21CF3CF22A4D04B27AF3656AFBDA84170C01939F561DF7E6663BC5B055441008E99B137EA9273E475CFD987FCCD9AA7AC3E6B64FA63693CB40AF8577C7B6AC81D3DF5C1D079798DEFB8BCDD619CC32156653F339EDED2EF3831F420B8E1AFCEDCEB92DD4C2F0FAD027A900EC0616BFDA76FAC5B31374FA39CBEEED8483670D0E48A17B26AFEDBEAB15C68FB81E5734FDD73F605EFE660AB9F58B11266F6D3E67D0F775D783AA4738F77F7EACEEF7F988B8910B1926B25537E693CB86688C4786763B0E629DBE4FB8CFCB40AE841380073AEBDEB9F7AEDD31356FF880A59D0463F4E31719561CF03834E3F7ABBC3DB6E6BBFFAF5ECE46CEC3410B39C6B9275858A232F0F3AA0E93B15DC72CBE96B36641B27ABF86C18F06CD27D46CB2E8FAD6ED093B29C8DC1AA792DD31F4B33CFC63EB484433800B3C6C57FDCB17BF7F6DF2F4816C92060DAAFD2BA0FF8CE5B1D3A1AE6B6DC72A674652AA61C13C1ECA7CC87D65983AEF34CEBF86D914D0B5A67ACC9C8B9167782C8C99324973E681A6C10EC6A0A6E9ADF32634DFA44EC3E4A48A4A7A04547A6965CF6A7CC2FEEEF8C04CF1DD31F78B45BA661A73F964EA461C033E32455FE22ED17F777BADBBEB52411F1731F2F6E1B778BBE740572AF12C28455066763F083CB4F9DDEF2ADF7725753B0EAEA96E94FA4230B2F612100C75E4185563756F15669E3965BCE54AFB3B66E76BB4F875AAAFA1ADF715DF3B71C6C33481C33D766C83492F7BED7FCF7F2E6C3CFDADCA7435C94D9767BBB364F5EBE368374EB802732B56469DDB849F71AF73CD0F5DE8CE6964D6E86635CCDC1AAAB5BA63F9E5E8A1A2C098CE5380A165F039B6F37FFE0D803B5071E2D955EF01759968E060F251AE69C0D41FB977E5B9DDF56E7B37FE9F7DB2237EE1E9B3143E4E7FE0AE502F1291AE62C3B3D4DEFBA4E6DEC53A6489332E5159FE54B9504D65C707508E398531BFBAAD75AB908177044A63F9E7ECE2C082E10CDE27175F8D8FE1F5B2C2BD4D5E27B66926E012F847B81F8606398268621977785AB4391950CB3F2DC9FE1022514FE0270F0B35579D7BD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    </unfolded-io>

    <\input>
      png]\ 
    <|input>
      \;
    </input>
  </session>

  For Gnuplot foldable, we often use the output option in the magic line, if
  we do not specify the output format, it might use the eps output format
  which is in black and white style.

  For example:

  <\script-input|gnuplot|default>
    % -output png -width 0.5par

    plot sin(x)
  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  And here is the plotted image:

  <\script-output|gnuplot|default>
    % -output png -width 0.5par

    plot sin(x)
  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  <tmdoc-copyright|2011-2024|Joris van der Hoeven, Miguel de Benito
  Delgado|Chu-Ching Huang|Darcy Shen>

  <tmdoc-license|Permission is granted to copy, distribute and/or modify this
  document under the terms of the GNU Free Documentation License, Version 1.1
  or any later version published by the Free Software Foundation; with no
  Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
  Texts. A copy of the license is included in the section entitled "GNU Free
  Documentation License".>
</body>

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